226400590369044 has 288 divisors, whose sum is σ = 713946439664640. Its totient is φ = 58898586240000.

The previous prime is 226400590368989. The next prime is 226400590369073. The reversal of 226400590369044 is 440963095004622.

226400590369044 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 0 + 0 + 590 + 3 + 6 + 9 + 0 + 44 = 666.

It is a super-2 number, since 2×226400590369044² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274178794 + ... + 275003294.

It is an arithmetic number, because the mean of its divisors is an integer number (2478980693280).

Almost surely, 2^{226400590369044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226400590369044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356973219832320).

226400590369044 is an abundant number, since it is smaller than the sum of its proper divisors (487545849295596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226400590369044 is a wasteful number, since it uses less digits than its factorization.

226400590369044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825671 (or 825666 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 226400590369044 in words is "two hundred twenty-six trillion, four hundred billion, five hundred ninety million, three hundred sixty-nine thousand, forty-four".